The document provides 11 math word problems related to profit, costs, revenue, supply and demand functions, and other economics topics. Students are asked to solve the problems by finding break-even points, maximum or minimum values, equilibrium quantities and prices, and other values. The problems cover concepts like profit maximization, optimal production levels, and using equations to model economic relationships.

1. 1. If the profit from the sale of x units of a product is P = 105x
− 300 − x2, what
level(s) of production will yield a profit of $1050? (Enter your
answers as a
comma-separated list.)
x = _________ units
2. The total costs for a company are given by
C(x) = 5400 + 80x + x2
and the total revenues are given by
R(x) = 230x.
Find the break-even points. (Enter your answers as a comma-
separated list.)
x= __________ units
3. If total costs are C(x) = 900 + 800x and total revenues are
R(x) = 900x − x2, find the
break-even points. (Enter your answers as a comma-separated
list.)
x= _____________
4. For the years since 2001, the percent p of high school seniors
who have tried marijuana

2. can be considered as a function of time t according to
p = f(t) = 0.17t2 − 2.61t + 52.64
where t is the number of years past 2000.† In what year after
2000 is the percent
predicted to reach 75%, if this function remains valid?
_______________
5. Using data from 2002 and with projections to 2024, total
annual expenditures for
national health care (in billions of dollars) can be described by
E = 4.61x2 + 43.4x + 1620
where x is the number of years past 2000.† If the pattern
indicated by the model
remains valid, in what year does the model predict these
expenditures will reach
$15,315 billion?
__________________
6. The monthly profit from the sale of a product is given by P =
32x − 0.2x2 − 150 dollars.
(a) What level of production maximizes profit?
___________ units

3. (b) What is the maximum possible profit?
$_____________
7. Consider the following equation.
y = 9 + 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the
function.
x=_____________
(c) Determine the optimal (maximum or minimum) value of the
function.
y=______________
8. Consider the following equation.
f(x) = 6x − x2
(a) Find the vertex of the graph of the equation.
(x, y) = (__________)
(b) Determine what value of x gives the optimal value of the
function.
x=_____________

4. (c) Determine the optimal (maximum or minimum) value of the
function.
f(x)= _____________
9. Find the maximum revenue for the revenue function R(x) =
358x − 0.7x2. (Round your
answer to the nearest cent.)
R = $______________
10. The profit function for a certain commodity is P(x) = 150x −
x2 − 1000. Find the level of
production that yields maximum profit, and find the maximum
profit.
x= _________ units
P=$ _________
11. If, in a monopoly market, the demand for a product is p =
2000 − x and the revenue is
R = px, where x is the number of units sold, what price will
maximize revenue?
$________________
12. If the supply function for a commodity is p = q2 + 6q + 16
and the demand function is p
= −3q2 + 4q + 436, find the equilibrium quantity and

5. equilibrium price.
equilibrium quantity_______________
equilibrium price $_______________
13. If the supply and demand functions for a commodity are
given by p − q = 10 and q(2p
− 10) = 3600, what is the equilibrium price and what is the
corresponding number of
units supplied and demanded?
equilibrium price $_______________
number of units _________ units
14. Suppose the percent of the total work force that is female is
given by
(a) From the equation, identify the maximum point on the graph
of y = p(t). (Round
your answers to two decimal places.)
(t, y) = (____________)
(b) In what year is the percent of women workers at its
maximum, according to this
model?

6. Diabetes
For my UnEssay project I would like the focus to be on
interventions for diabetes. This is a chronic disorder
characterized by increased glucose levels that progressively
modify or conflict with the degree of glucose tolerance in the
body. It also is a multidimensional disorder that requires a
varied approach to treatment since it is a lifestyle disease that,
if left unchecked, may cause severe ailment. The fact that the
ailment manifests itself in two forms, namely diabetes type 1
and diabetes type 2, renders it a huge public health problem
around the world. Although diabetes is becoming more common
among adults, little knowledge has been provided on the
disease's pathogenesis, management, and potential therapy or
intervention strategies. I found this topic to be quite interesting
to me and also beneficial as a few of my close relatives have
this disease and so this acted as a personal motivated for me to
learn more about it. Moreover, I chose to do this project
because it challenges my approach to communicating and
developing my ideas as opposed to the more mundane formal
way.
I plan to format my project first by properly introducing this
topic then stating its causes and intervention plans and then at
the end I would include an interview with three individual with
diabetes in order to get first-hand information on how the
disease has impacted their lives and the various treatment plans
they are on. This will also allow me to get a better idea on
which intervention methods they find to be the most effective
for them and also inquire on the things they would have done
differently in order to avoid developing the disease; this being
applicable if in fact it was a consequence of their lifestyle
choices. I will also be including several images depicting the
severity of this condition. This project should be compl eted
within a week; the first two days would be the writing portion
of the project and the remaining days would be for the
interviews.

7. 3/10/22, 5:21 PM Preview Rubric: Substantial Work in Progress
Final UnEssay Project - Spring 2022 - Principles of Biology I
(BIOL-1107-OF2) - Ge…
https://georgiasouthern.desire2learn.com/d2l/lp/rubrics/preview.
d2l?ou=689489&rubricId=570982&originTool=quicklinks 1/2
Substantial Work in Progress Final UnEssay Project
Course: Spring 2022 - Principles of Biology I (BIOL-1107-OF2)
Statement
Exceeds
Expectations
2 points
Meets
Expectations
1.5 points
Needs Work
1 point
Missing
0 points
Criterion Score
explains what
you have

8. accomplished
/ 2
what you
need to do to
finish
/ 2
200-300
words
/ 2
Includes all
accomplishments
and incdicates
what they have
contrubuted to
project
Includes all
accomplishments
Includes a few

9. accomplishments
Includes what
needs to be done
to finish and
what that will
contribute to the
project
Includes
everything that
needs to be done
to finish
Includes a few
things that need
to be done
200-300 works More than 300
words
Less than 200
words

10. Less than 100
words
Work in
Progress
Exceeds
Expectations
4 points
Meets
Expectations
3 points
Needs Work
2 points
Missing
0 points
Criterion Score
Show research
on topic
/ 4Includes more
than two pieces
of evidence of
research
completed and

11. identifies at least
one more pieces
of evidence to
use.
Includes at least
two pieces of
evidence of
research
completed and
identifies at least
two more pieces
of evidence to
use.
Includes at least
one piece of
evidence of
research
completed and

12. identifies at least
three more
pieces of
evidence to use.
Includes not
evidence of
research
completed.
3/10/22, 5:21 PM Preview Rubric: Substantial Work in Progress
Final UnEssay Project - Spring 2022 - Principles of Biology I
(BIOL-1107-OF2) - Ge…
https://georgiasouthern.desire2learn.com/d2l/lp/rubrics/preview.
d2l?ou=689489&rubricId=570982&originTool=quicklinks 2/2
Total / 14
Overall Score
Work in
Progress
Exceeds
Expectations

13. 4 points
Meets
Expectations
3 points
Needs Work
2 points
Missing
0 points
Criterion Score
Show work / 4Project includes
a full draft of the
project.
Project includes
a draft with
substantial work
evident.
Project includes
a partial draft.
There is no draft.
A
12.6 points

14. minimum
B
11.2 points
minimum
C
9.8 points
minimum
d
8.4 points
minimum
F
0 points
minimum